arXiv · cond-mat/0606155
Coherent matter waves emerging from Mott-insulators
Abstract
We study the formation of (quasi-)coherent matter waves emerging from a Mott insulator for strongly interacting bosons on a one-dimensional lattice. It has been shown previously that a quasi-condensate emerges at momentum k=π/2a, where a is the lattice constant, in the limit of infinitely strong repulsion (hard-core bosons). Here we show that this phenomenon persists for all values of the repulsive interaction that lead to a Mott insulator at a commensurate filling. The non-equilibrium dynamics of hard-core bosons is treated exactly by means of a Jordan-Wigner transformation, and the generic case is studied using a time-dependent density matrix renormalization group technique. Different methods for controlling the emerging matter wave are discussed.
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K. Rodriguez, S. R. Manmana, M. Rigol, R. M. Noack, A. Muramatsu. 2006-09-18. Coherent matter waves emerging from Mott-insulators. https://doi.org/10.1088/1367-2630%2F8%2F8%2F169
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